Advances and Applications in Discrete Mathematics

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ON ZAGREB POLYNOMIAL CUTTING NUMBER TOPOLOGICAL INDICES OF NANOSTAR DENDRIMER $D_n$

Authors

  • P. Gladyis
  • G. Srividhya
  • R. Rohini

Keywords:

cutting number, nanostar dendrimer, Zagreb index, chemical graph, topological index, polynomial

DOI:

https://doi.org/10.17654/0974165822012

Abstract

In this paper, we propose generalized version of the first, second, third, fourth and fifth Zagreb polynomial indices of nanostar dendrimer $D_n$, which are based on cutting number of the vertices.

Received: November 5, 2021  
Accepted: January 5, 2022

References

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M. Bhanumathi, G. Srividhya and P. Gladyis, On some number topological indices of nanostar dendrimer NS[n], Malaya Journal of Matematik 8(4) (2020), 2177-2185.

F. Buckley and F. Harary, Distance in Graphs, Addison-Wesley, Reading, 1990.

G. H. Fath-Tabar, Old and new Zagreb index, MATCH - Commun. Math. Comput. Chem. 65 (2011), 79-84.

I. Gutman, B. Furtula and S. Ediz, On difference of Zagreb indices, Discrete Appl. Math. 178 (2018), 83-88.

S. K. Giregol, Shraddha Nandagond and Surekha Palabhavi, Study of degree – based topological indices of some nanotubes, Journal of Computer and Mathematical Sciences 9(10) (2018), 1440-1443.

P. Gladyis and G. Srividhya, On some vertex based cutting number topological indices of nanostar dendrimer NS[n], Sambodhi 43(03(VIII)) (2020), 162-166.

P. Gladyis and G. Srividhya, Certain topological indices and their polynomials of some cutting number nanostar dendrimer NS[n], Malaya Journal of Matematik 9(1) (2021), 425-430.

I. Gutman, New bounds on Zagreb indices and the Zagreb co-indices, Bol. Soc. Paran. Mat. 31(1) (2013), 51-65.

V. R. Kulli, Certain Topological indices and their polynomials of dendrimer nanostars, Annals of Pure and Applied Mathematics 14(2) (2017), 263-268.

Shin Min Kang, Manzoor Ahmad Zahid, Abaid ur Rehamn Virk, Waqas Nazeer and Wel Gao, Calculating the degree – based topological indices of dendrimers, Open Chem. 16 (2018), 681-688.

Shin Min Kang, Muhammad Yousaf, Manzoor Ahmad Zahid, Muhammad Younas and Waqas Nazeer, Zagreb polynomials and redefined Zagreb indices of nanostar dendrimers, Open Phys. 17 (2019), 31-40.

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Published

2022-01-20

Issue

Vol. 29 No. 2 (2022)

Section

Articles

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How to Cite

ON ZAGREB POLYNOMIAL CUTTING NUMBER TOPOLOGICAL INDICES OF NANOSTAR DENDRIMER $D_n$. (2022). Advances and Applications in Discrete Mathematics, 29(2), 169-185. https://doi.org/10.17654/0974165822012

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